%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP219^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:05:54 AM UTC 2026
% Result : Theorem 1.03s 1.91s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 8 ~; 4 |; 0 &; 32 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
assn: $tType ).
thf(decl_25,type,
entails: assn > assn > $o ).
thf(decl_735,type,
bot_bot_assn: assn ).
thf(decl_1177,type,
p: assn ).
thf(decl_1178,type,
q: assn ).
thf(conj_0,conjecture,
entails @ p @ q,
file('/export/starexec/sandbox2/tmp/tmp.wxMzJPpiLk/E---3.1_1768073.p',conj_0) ).
thf(fact_3_ent__iffI,axiom,
! [X4: assn,X5: assn] :
( ( entails @ X4 @ X5 )
=> ( ( entails @ X5 @ X4 )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxMzJPpiLk/E---3.1_1768073.p',fact_3_ent__iffI) ).
thf(fact_7_ent__false,axiom,
! [X1: assn] : ( entails @ bot_bot_assn @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.wxMzJPpiLk/E---3.1_1768073.p',fact_7_ent__false) ).
thf(fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062,axiom,
entails @ p @ bot_bot_assn,
file('/export/starexec/sandbox2/tmp/tmp.wxMzJPpiLk/E---3.1_1768073.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).
thf(c_0_4,negated_conjecture,
~ ( entails @ p @ q ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( entails @ p @ q ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X14257: assn,X14258: assn] :
( ~ ( entails @ X14257 @ X14258 )
| ~ ( entails @ X14258 @ X14257 )
| ( X14257 = X14258 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_ent__iffI])])]) ).
thf(c_0_7,plain,
! [X14704: assn] : ( entails @ bot_bot_assn @ X14704 ),
inference(variable_rename,[status(thm)],[fact_7_ent__false]) ).
thf(c_0_8,negated_conjecture,
~ ( entails @ p @ q ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X2: assn,X1: assn] :
( ( X1 = X2 )
| ~ ( entails @ X1 @ X2 )
| ~ ( entails @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
entails @ p @ bot_bot_assn,
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062]) ).
thf(c_0_11,plain,
! [X1: assn] : ( entails @ bot_bot_assn @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
~ ( entails @ p @ q ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
p = bot_bot_assn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP219^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 20:25:21 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.98/1.05 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.wxMzJPpiLk/E---3.1_1768073.p
% 1.03/1.91 % Version: 3.5.1-ho
% 1.03/1.91 % partial match(2): HMLLSMLLSSLNSFA
% 1.03/1.91 % Preprocessing class: HMLLSMLMSSLNHFA.
% 1.03/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/1.91 % Starting new_bool_8 with 1200s (4) cores
% 1.03/1.91 % Starting post_as_ho5 with 600s (2) cores
% 1.03/1.91 % Starting new_bool_9 with 300s (1) cores
% 1.03/1.91 % Starting new_bool_3 with 300s (1) cores
% 1.03/1.91 % new_bool_9 with pid 1768088 completed with status 0
% 1.03/1.91 % Result found by new_bool_9
% 1.03/1.91 % partial match(2): HMLLSMLLSSLNSFA
% 1.03/1.91 % Preprocessing class: HMLLSMLMSSLNHFA.
% 1.03/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/1.91 % Starting new_bool_8 with 1200s (4) cores
% 1.03/1.91 % Starting post_as_ho5 with 600s (2) cores
% 1.03/1.91 % Starting new_bool_9 with 300s (1) cores
% 1.03/1.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 1.03/1.91 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.03/1.91 % Search class: HGHSM-FSLM31-MHFFFFNN
% 1.03/1.91 % partial match(1): HGHSM-FSLM31-MHFFFFBN
% 1.03/1.91 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.03/1.91 % Starting SubtermCWHack with 28s (1) cores
% 1.03/1.91 % SubtermCWHack with pid 1768090 completed with status 0
% 1.03/1.91 % Result found by SubtermCWHack
% 1.03/1.91 % partial match(2): HMLLSMLLSSLNSFA
% 1.03/1.91 % Preprocessing class: HMLLSMLMSSLNHFA.
% 1.03/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/1.91 % Starting new_bool_8 with 1200s (4) cores
% 1.03/1.91 % Starting post_as_ho5 with 600s (2) cores
% 1.03/1.91 % Starting new_bool_9 with 300s (1) cores
% 1.03/1.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 1.03/1.91 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.03/1.91 % Search class: HGHSM-FSLM31-MHFFFFNN
% 1.03/1.91 % partial match(1): HGHSM-FSLM31-MHFFFFBN
% 1.03/1.91 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.03/1.91 % Starting SubtermCWHack with 28s (1) cores
% 1.03/1.91 % Preprocessing time : 0.012 s
% 1.03/1.91
% 1.03/1.91 % Proof found!
% 1.03/1.91 % SZS status Theorem
% 1.03/1.91 % SZS output start CNFRefutation
% See solution above
% 1.03/1.91 % Parsed axioms : 7184
% 1.03/1.91 % Removed by relevancy pruning/SinE : 6978
% 1.03/1.91 % Initial clauses : 241
% 1.03/1.91 % Removed in clause preprocessing : 1
% 1.03/1.91 % Initial clauses in saturation : 240
% 1.03/1.91 % Processed clauses : 122
% 1.03/1.91 % ...of these trivial : 40
% 1.03/1.91 % ...subsumed : 17
% 1.03/1.91 % ...remaining for further processing : 65
% 1.03/1.91 % Other redundant clauses eliminated : 12
% 1.03/1.91 % Clauses deleted for lack of memory : 0
% 1.03/1.91 % Backward-subsumed : 0
% 1.03/1.91 % Backward-rewritten : 2
% 1.03/1.91 % Generated clauses : 187
% 1.03/1.91 % ...of the previous two non-redundant : 63
% 1.03/1.91 % ...aggressively subsumed : 0
% 1.03/1.91 % Contextual simplify-reflections : 0
% 1.03/1.91 % Paramodulations : 158
% 1.03/1.91 % Factorizations : 0
% 1.03/1.91 % NegExts : 0
% 1.03/1.91 % Equation resolutions : 12
% 1.03/1.91 % Disequality decompositions : 0
% 1.03/1.91 % Total rewrite steps : 161
% 1.03/1.91 % ...of those cached : 116
% 1.03/1.91 % Propositional unsat checks : 0
% 1.03/1.91 % Propositional check models : 0
% 1.03/1.91 % Propositional check unsatisfiable : 0
% 1.03/1.91 % Propositional clauses : 0
% 1.03/1.91 % Propositional clauses after purity: 0
% 1.03/1.91 % Propositional unsat core size : 0
% 1.03/1.91 % Propositional preprocessing time : 0.000
% 1.03/1.91 % Propositional encoding time : 0.000
% 1.03/1.91 % Propositional solver time : 0.000
% 1.03/1.91 % Success case prop preproc time : 0.000
% 1.03/1.91 % Success case prop encoding time : 0.000
% 1.03/1.91 % Success case prop solver time : 0.000
% 1.03/1.91 % Current number of processed clauses : 57
% 1.03/1.91 % Positive orientable unit clauses : 39
% 1.03/1.91 % Positive unorientable unit clauses: 3
% 1.03/1.91 % Negative unit clauses : 2
% 1.03/1.91 % Non-unit-clauses : 13
% 1.03/1.91 % Current number of unprocessed clauses: 181
% 1.03/1.91 % ...number of literals in the above : 334
% 1.03/1.91 % Current number of archived formulas : 0
% 1.03/1.91 % Current number of archived clauses : 2
% 1.03/1.91 % Clause-clause subsumption calls (NU) : 27
% 1.03/1.91 % Rec. Clause-clause subsumption calls : 27
% 1.03/1.91 % Non-unit clause-clause subsumptions : 13
% 1.03/1.91 % Unit Clause-clause subsumption calls : 18
% 1.03/1.91 % Rewrite failures with RHS unbound : 0
% 1.03/1.91 % BW rewrite match attempts : 70
% 1.03/1.91 % BW rewrite match successes : 27
% 1.03/1.91 % Condensation attempts : 0
% 1.03/1.91 % Condensation successes : 0
% 1.03/1.91 % Termbank termtop insertions : 112176
% 1.03/1.91 % Search garbage collected termcells : 66699
% 1.03/1.91
% 1.03/1.91 % -------------------------------------------------
% 1.03/1.91 % User time : 0.092 s
% 1.03/1.91 % System time : 0.051 s
% 1.03/1.91 % Total time : 0.143 s
% 1.03/1.91 % Maximum resident set size: 22488 pages
% 1.03/1.91
% 1.03/1.91 % -------------------------------------------------
% 1.03/1.91 % User time : 0.756 s
% 1.03/1.91 % System time : 0.080 s
% 1.03/1.91 % Total time : 0.835 s
% 1.03/1.91 % Maximum resident set size: 21248 pages
% 1.03/1.91 % E exiting
%------------------------------------------------------------------------------